Auxiliary tie rules need not dominate analysis of asymmetric games.

Evidence

Suppose we were to analyze the game in which there is $100 at the end of the road for the player who can get there first. This game of skill is not hard to analyze: the money goes to the fastest, barring accidents and random elements. We can predict rational behavior (running) and the outcome (money to the fastest). Ties will occasionally occur; but they will occur at the end of a race and will not be taken for granted at the outset. We need an auxiliary rule to cover ties, but it need not dominate either the game or the analysis. — Thomas C. Schelling, The Strategy of Conflict, 632